Differential equations with infinite number of limit cycles
Differential equations with interface conditions
Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II.
Differential flatness and defect: an overview
We introduce flat systems, which are equivalent to linear ones via a special type of feedback called endogenous. Their physical properties are subsumed by a linearizing output and they might be regarded as providing another nonlinear extension of Kalman's controllability. The distance to flatness is measured by a non-negative integer, the defect. We utilize differential algebra which suits well to the fact that, in accordance with Willems' standpoint, flatness and defect are best defined without...
Differential growth models for microbial populations
Two models of microbial growth are derived as a resuslt of a discussion of the models of Monod and Hinshelwood types. The approach takes account of the lyse of dead cells in inhibitory products as well as in those which stimulate the growth. The asymptotic behaviour of the models is proved and the models applied to a chemostat.
Differential inclusions and multivalued integrals
In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spaces x'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I. Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall and improve earlier papers of this type. The paper is complemented...
Differential inclusions in the Almgren sense on unbounded domains
We prove the existence of solutions of differential inclusions on a half-line. Our results are based on an approximation method combined with a diagonalization method.
Differential inequalities for hysteresis systems.
Differential inequalities for one component of solution vector for systems of linear functional differential equations.
Differential inequalities with initial time difference and applications.
Differential operators with non dense domain
Differential subordination defined by Sălăgean operator.
Differential subordination results for new classes of the family .
Differential subordinations obtained by using generalized Sălăgean and Ruscheweyh operators.
Differential subspaces associated with pairs of ordinary differential operators
Differential-algebraic equations in the theory of invariant manifolds for singular equations.
Diffusion phenomenon for second order linear evolution equations
We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.
Diffusive synchronization of hyperchaotic Lorenz systems.
Digital simulation of analog computing differential equations with variable coefficients and nonlinear differential equations
Dimensional reduction of nonlinear time delay systems.